基于Chebyshev逼近的分数阶谱微分算子矩阵

doi:10.16039/j.cnki.cn22-1249.2021.03.018

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摘要

基于chebyshev逼近，导出了整数s阶谱微分算子矩阵，利用chebyshev多项式、chebyshev多项式导数的三项递推关系式，给出了一个计算分数α 阶谱微分算子矩阵的递推格式. 数值算例验证了格式的精度和效果。

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	张光辉

关键词: chebyshev逼近分数阶谱微分矩阵

Abstract:

Based on chebyshev approximation, an integer-order spectral operator differential matrix is derive, and a recurrence scheme for computing fractional spectral differential operator matrix is also obtained by using the three terms recurrence of chebyshev polynomials and the derivatives of chebyshev polynomials. Numerical examples are given to demonstrate the accuracy and effectiveness of the scheme.

Key words: chebyshev approximation fractional order spectral differential matrix

出版日期: 2021-03-25 发布日期: 2021-03-25 整期出版日期: 2021-03-25

O174.41

引用本文:

张光辉. 基于Chebyshev逼近的分数阶谱微分算子矩阵 [J]. 吉林化工学院学报, 2021, 38(3): 87-90.
ZHANG Guanghui. Spectral Operator Matrix Based on Chebyshev Approximation . Journal of Jilin Institute of Chemical Technology, 2021, 38(3): 87-90.

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https://xuebao.jlict.edu.cn/CN/10.16039/j.cnki.cn22-1249.2021.03.018 或 https://xuebao.jlict.edu.cn/CN/Y2021/V38/I3/87

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